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Arkhipov, Gennadiĭ Ivanovich

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Author ID: arkhipov.gennadii-i Recent zbMATH articles by "Arkhipov, Gennadiĭ Ivanovich"
Published as: Arkhipov, G. I.; Arkhipov, Gennadiĭ Ivanovich; Arkhipov, Gennady I.
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 91 Publications since 1974, including 7 Books
Biographic References: 6 Publications

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 208 times in 128 Documents Cited by Year
Trigonometric sums in number theory and analysis. Transl. from the Russian. Zbl 1074.11043
Arkhipov, G. I.; Chubarikov, V. N.; Karatsuba, A. A.
42
2004
Theory of multiple trigonometric sums. (Теория кратных тригонометрических сумм.) Zbl 0638.10037
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
33
1987
Selected works. (Избранные труды.) Zbl 1307.11004
Arkhipov, G. I.
17
2013
Trigonometric integrals. Zbl 0493.10040
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
14
1980
On a special trigonometric series and its applications. Zbl 0665.42003
Arkhipov, G. I.; Oskolkov, K. I.
8
1987
Multiple trigonometric sums. Zbl 0441.10037
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
7
1980
On Waring’s problem with non-integral exponent. Zbl 0568.10027
Arkhipov, G. I.; Zhitkov, A. N.
6
1984
Mean-value theorem for the modulus of multiple trigonometric sums. Zbl 0315.10033
Arkhipov, G. I.
6
1975
On a local representation of zero by a form. Zbl 0476.10018
Arkhipov, G. I.; Karatsuba, A. A.
5
1981
On a special trigonometric series and its applications. Zbl 0825.42002
Arkhipov, G. I.; Oskolkov, K. I.
5
1989
Multiple trigonometric sums and their applications. Zbl 0446.10030
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
4
1980
An upper bound for the modulus of a multiple trigonometric sum. Zbl 0432.10020
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
4
1977
The index of convergence of the singular integral in Tarry’s problem. Zbl 0432.10021
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
4
1979
Multiple trigonometric sums. Zbl 0489.10030
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
3
1982
On the Hilbert-Kamke problem. Zbl 0539.10016
Arkhipov, G. I.
3
1984
On Ingham’s additive divisor problem. Zbl 1150.11037
Arkhipov, G. I.; Chubarikov, V. N.
3
2006
A multidimensional analogue of Waring’s problem. Zbl 0655.10043
Arkhipov, G. I.; Karatsuba, A. A.
3
1987
Mehrfache trigonometrische Summen. Zbl 0324.10038
Arkhipov, G. I.; Chubarikov, V. N.
3
1976
On the value of the singular series in the Hilbert-Kamke problem. Zbl 0485.10035
Arkhipov, G. I.
2
1981
On the representation of zero by a form in the field of p-adic numbers. Zbl 0496.10009
Arkhipov, G. I.; Karatsuba, A. A.
2
1982
On local representation of zero by a form. Zbl 0496.10010
Arkhipov, G. I.; Karatsuba, A. A.
2
1982
On a problem in the theory of congruences. Zbl 0508.10012
Arkhipov, G. I.; Karatsuba, A. A.
2
1982
Peculiar cases of the theory of multiple trigonometric sums. Zbl 0536.10031
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
2
1983
Multiple trigonometric sums. Zbl 0347.10029
Arkhipov, G. I.; Chubarikov, V. N.
2
1977
Explicit estimate of the number of solutions of a system of diophantine equations. Zbl 0402.10016
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
2
1978
On the general Stokes formula. Zbl 0885.58008
Arkhipov, G. I.; Sadovnichii, V. A.; Chubarikov, V. N.
2
1995
On the Hilbert-Kamke problem. Zbl 0557.10018
Arkhipov, G. I.
2
1985
On arithmetic conditions for solvability of nonlinear systems of diophantine equations. Zbl 0592.10014
Arkhipov, G. I.; Chubarikov, V. N.
2
1985
On the number of summands in Vinogradov’s additive problem and its generalizations. Zbl 1223.11123
Arkhipov, G. I.; Chubarikov, V. N.
2
2002
On the exceptional set in a Goldbach-type binary problem. Zbl 1146.11325
Arkhipov, G. I.; Chubarikov, V. N.
2
2002
On the measure of “major arcs” in the Farey partition. Zbl 1315.11014
Arkhipov, G. I.; Chubarikov, V. N.
1
2011
On a system of Diophantine equations. Zbl 0478.10020
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
1
1980
Refinement of estimates for the Riemann zeta-function in a neighbourhood of the line \(\text{Re }s=1\). Zbl 0827.11050
Arkhipov, Gennady I.; Buriev, Kakhor
1
1993
On Professor A. A. Karatsuba’s works in mathematics. Zbl 0929.11002
Arkhipov, G. I.; Chubarikov, V. N.
1
1997
On the power of a singular set in binary additive problems with prime numbers. Zbl 0915.11050
Arkhipov, G. I.; Buriev, K.; Chubarikov, V. N.
1
1997
On the asymptotics of the number of terms in a multidimensional additive problem with prime numbers. Zbl 0837.11056
Arkhipov, G. I.; Chubarikov, V. N.
1
1993
Distribution of the fractional parts of polynomials of several variables. Zbl 0405.10032
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
1
1979
Distribution of fractional parts of polynomials in several variables. Zbl 0416.10038
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
1
1979
Lectures on calculus. University coursebook. 5th corrected ed. (Лекции по математическому анализу. Учебник для вузов.) Zbl 1307.00004
Arkhipov, G. I.; Sadovnichiĭ, V. A.; Chubarikov, V. N.
1
2005
Anatolii Alekseevich Karatsuba (on his 60th birthday). Zbl 0918.01027
Arkhipov, G. I.; Blagodatskikh, V. I.; Chubarikov, V. N.; Lupanov, O. B.; Mishchenko, E. F.; Prokhorov, Yu. V.; Shidlovskij, A. B.; Vladimirov, V. S.; Voronin, S. M.
1
1998
On the distribution of prime numbers in a sequence of the form \([n^c]\). Zbl 0983.11055
Arkhipov, G. I.; Chubarikov, V. N.
1
1999
On the Carlson abscissa in the moment problem for the Riemann zeta-function. Zbl 1219.11120
Arkhipov, G. I.; Bayadilov, E. E.; Chubarikov, V. N.
1
2003
Investigations on the Hilbert-Kamke problem. Zbl 1222.11048
Arkhipov, G. I.
1
2006
On multiple trigonometric sums. Zbl 0319.10046
Arkhipov, G. I.; Chubarikov, V. N.
1
1975
Selected works. (Избранные труды.) Zbl 1307.11004
Arkhipov, G. I.
17
2013
On the measure of “major arcs” in the Farey partition. Zbl 1315.11014
Arkhipov, G. I.; Chubarikov, V. N.
1
2011
On Ingham’s additive divisor problem. Zbl 1150.11037
Arkhipov, G. I.; Chubarikov, V. N.
3
2006
Investigations on the Hilbert-Kamke problem. Zbl 1222.11048
Arkhipov, G. I.
1
2006
Lectures on calculus. University coursebook. 5th corrected ed. (Лекции по математическому анализу. Учебник для вузов.) Zbl 1307.00004
Arkhipov, G. I.; Sadovnichiĭ, V. A.; Chubarikov, V. N.
1
2005
Trigonometric sums in number theory and analysis. Transl. from the Russian. Zbl 1074.11043
Arkhipov, G. I.; Chubarikov, V. N.; Karatsuba, A. A.
42
2004
On the Carlson abscissa in the moment problem for the Riemann zeta-function. Zbl 1219.11120
Arkhipov, G. I.; Bayadilov, E. E.; Chubarikov, V. N.
1
2003
On the number of summands in Vinogradov’s additive problem and its generalizations. Zbl 1223.11123
Arkhipov, G. I.; Chubarikov, V. N.
2
2002
On the exceptional set in a Goldbach-type binary problem. Zbl 1146.11325
Arkhipov, G. I.; Chubarikov, V. N.
2
2002
On the distribution of prime numbers in a sequence of the form \([n^c]\). Zbl 0983.11055
Arkhipov, G. I.; Chubarikov, V. N.
1
1999
Anatolii Alekseevich Karatsuba (on his 60th birthday). Zbl 0918.01027
Arkhipov, G. I.; Blagodatskikh, V. I.; Chubarikov, V. N.; Lupanov, O. B.; Mishchenko, E. F.; Prokhorov, Yu. V.; Shidlovskij, A. B.; Vladimirov, V. S.; Voronin, S. M.
1
1998
On Professor A. A. Karatsuba’s works in mathematics. Zbl 0929.11002
Arkhipov, G. I.; Chubarikov, V. N.
1
1997
On the power of a singular set in binary additive problems with prime numbers. Zbl 0915.11050
Arkhipov, G. I.; Buriev, K.; Chubarikov, V. N.
1
1997
On the general Stokes formula. Zbl 0885.58008
Arkhipov, G. I.; Sadovnichii, V. A.; Chubarikov, V. N.
2
1995
Refinement of estimates for the Riemann zeta-function in a neighbourhood of the line \(\text{Re }s=1\). Zbl 0827.11050
Arkhipov, Gennady I.; Buriev, Kakhor
1
1993
On the asymptotics of the number of terms in a multidimensional additive problem with prime numbers. Zbl 0837.11056
Arkhipov, G. I.; Chubarikov, V. N.
1
1993
On a special trigonometric series and its applications. Zbl 0825.42002
Arkhipov, G. I.; Oskolkov, K. I.
5
1989
Theory of multiple trigonometric sums. (Теория кратных тригонометрических сумм.) Zbl 0638.10037
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
33
1987
On a special trigonometric series and its applications. Zbl 0665.42003
Arkhipov, G. I.; Oskolkov, K. I.
8
1987
A multidimensional analogue of Waring’s problem. Zbl 0655.10043
Arkhipov, G. I.; Karatsuba, A. A.
3
1987
On the Hilbert-Kamke problem. Zbl 0557.10018
Arkhipov, G. I.
2
1985
On arithmetic conditions for solvability of nonlinear systems of diophantine equations. Zbl 0592.10014
Arkhipov, G. I.; Chubarikov, V. N.
2
1985
On Waring’s problem with non-integral exponent. Zbl 0568.10027
Arkhipov, G. I.; Zhitkov, A. N.
6
1984
On the Hilbert-Kamke problem. Zbl 0539.10016
Arkhipov, G. I.
3
1984
Peculiar cases of the theory of multiple trigonometric sums. Zbl 0536.10031
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
2
1983
Multiple trigonometric sums. Zbl 0489.10030
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
3
1982
On the representation of zero by a form in the field of p-adic numbers. Zbl 0496.10009
Arkhipov, G. I.; Karatsuba, A. A.
2
1982
On local representation of zero by a form. Zbl 0496.10010
Arkhipov, G. I.; Karatsuba, A. A.
2
1982
On a problem in the theory of congruences. Zbl 0508.10012
Arkhipov, G. I.; Karatsuba, A. A.
2
1982
On a local representation of zero by a form. Zbl 0476.10018
Arkhipov, G. I.; Karatsuba, A. A.
5
1981
On the value of the singular series in the Hilbert-Kamke problem. Zbl 0485.10035
Arkhipov, G. I.
2
1981
Trigonometric integrals. Zbl 0493.10040
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
14
1980
Multiple trigonometric sums. Zbl 0441.10037
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
7
1980
Multiple trigonometric sums and their applications. Zbl 0446.10030
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
4
1980
On a system of Diophantine equations. Zbl 0478.10020
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
1
1980
The index of convergence of the singular integral in Tarry’s problem. Zbl 0432.10021
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
4
1979
Distribution of the fractional parts of polynomials of several variables. Zbl 0405.10032
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
1
1979
Distribution of fractional parts of polynomials in several variables. Zbl 0416.10038
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
1
1979
Explicit estimate of the number of solutions of a system of diophantine equations. Zbl 0402.10016
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
2
1978
An upper bound for the modulus of a multiple trigonometric sum. Zbl 0432.10020
Arkhipov, G. I.; Karatsuba, A. A.; Chubarikov, V. N.
4
1977
Multiple trigonometric sums. Zbl 0347.10029
Arkhipov, G. I.; Chubarikov, V. N.
2
1977
Mehrfache trigonometrische Summen. Zbl 0324.10038
Arkhipov, G. I.; Chubarikov, V. N.
3
1976
Mean-value theorem for the modulus of multiple trigonometric sums. Zbl 0315.10033
Arkhipov, G. I.
6
1975
On multiple trigonometric sums. Zbl 0319.10046
Arkhipov, G. I.; Chubarikov, V. N.
1
1975
all top 5

Cited by 135 Authors

26 Chubarikov, Vladimir Nikolaevich
6 Wooley, Trevor D.
5 Ikromov, Isroil A.
4 Karatsuba, Anatoliĭ Alekseevich
4 Wainger, Stephen
3 Arkhipov, Gennadiĭ Ivanovich
3 Chakhkiev, Magomed A.
3 Oskolkov, Konstantin Ilyich
3 Rakhmonov, P. Z.
3 Stein, Elias Menachem
2 Avdeev, I. F.
2 Dzhabbarov, Ilgar Shikar
2 Glazunov, Mykola Mykhaĭlovych
2 Goryashin, Dmitriĭ Viktorovich
2 Götze, Friedrich W.
2 Ham, Seheon
2 Ionescu, Alexandru D.
2 Kolpakova, Ol’ga Viktorovna
2 Korolëv, Maksim Aleksandrovich
2 Magyar, Akos
2 Muranov, Shakhriddin Abdullaevich
2 Rakhmonov, Zarullo Khusenovich
2 Saliba, Holem Mansour
2 Sharapova, M. L.
2 Ul’yanov, Vladimir Vasil’evich
2 Zhao, Xiaomei
1 Akarsu, Emek Demirci
1 Akramova, D. I.
1 Anderson, Theresa C.
1 Arias, Darío Mena
1 Arkhipov, A. I.
1 Arkhipova, Lyudmila Gennad’evna
1 Bak, Jong-Guk
1 Balanzario, Eugenio P.
1 Begunts, Aleksandr Vladimirovich
1 Bentkus, Vidmants-Kastytis
1 Berest, Yuri Yu.
1 Bloshanskii, Igor L.
1 Bourgain, Jean
1 Brandolini, Luca
1 Brownawell, W. Dale
1 Brüdern, Jörg
1 Buriev, Kakhor
1 Burlakova, E. A.
1 Cai, Yingchun
1 Changa, Maris E.
1 Chen, Xianghong
1 Cheng, Raymond
1 Ciaurri, Óscar
1 Cui, Zhen
1 De Koninck, Jean-Marie
1 Dokhov, R. A.
1 Dubickas, Artūras
1 Dutkay, Dorin Ervin
1 El-Mahassni, Edwin D.
1 Fan, Dashan
1 Filimonov, V. P.
1 Freud, Géza
1 Ganzburg, Michael Iosifovich
1 Gao, Zhi
1 Garaev, Moubariz Z.
1 Gashkov, Igor B.
1 Gashkov, Sergey B.
1 Ghiyasi, Azar
1 Gigante, Giacomo
1 Gillespie, Thomas Alastair
1 Gómez, Domingo
1 Grafov, Denis A.
1 Greenleaf, Allan
1 Guo, Shaoming
1 Han, Deguang
1 Henriot, Kevin
1 Hu, Bingyang
1 Hughes, Kevin J.
1 Iosevich, Alex
1 Jabbarov, Ilgar Shikar
1 Karatsuba, Ekaterina Anatol’evna
1 Karpushkin, Vladimir N.
1 Kesler, Robert M.
1 Khyzhniak, À. V.
1 Krasil’shchikov, V. V.
1 Kumchev, Angel V.
1 Kuo, Wentang
1 Kurtova, L. N.
1 Lashtabega, O. V.
1 Lebedev, Vladimir Vladimirovich
1 Lee, Sanghyuk
1 Li, Jinjiang
1 Li, Sanhua
1 Liu, Yu-Ru
1 Luca, Florian
1 Lytvyn, Oleg M.
1 Marklof, Jens
1 Mashreghi, Javad
1 Mineev, Mikhail Petrovich
1 Molteni, Giuseppe
1 Nazrubloev, N. N.
1 Nechuiviter, O. P.
1 Oganesyan, K. A.
1 Parsell, Scott T.
...and 35 more Authors
all top 5

Cited in 49 Serials

18 Chebyshevskiĭ Sbornik
17 Mathematical Notes
11 Moscow University Mathematics Bulletin
10 Proceedings of the Steklov Institute of Mathematics
7 Doklady Mathematics
5 Journal of Number Theory
4 Advances in Mathematics
3 Analysis Mathematica
3 Transactions of the American Mathematical Society
3 The Journal of Fourier Analysis and Applications
2 Journal d’Analyse Mathématique
2 Theory of Probability and its Applications
2 Duke Mathematical Journal
2 Functional Analysis and its Applications
2 Mathematika
2 Acta Mathematica Hungarica
2 Cybernetics and Systems Analysis
2 International Journal of Number Theory
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Lithuanian Mathematical Journal
1 Acta Mathematica
1 Colloquium Mathematicum
1 Journal of Functional Analysis
1 Mathematische Annalen
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Siberian Mathematical Journal
1 Constructive Approximation
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 The Journal of Geometric Analysis
1 Discrete Mathematics and Applications
1 Geometric and Functional Analysis. GAFA
1 Bulletin of the American Mathematical Society. New Series
1 Acta Mechanica Sinica. (English Edition)
1 Potential Analysis
1 Journal of Mathematical Sciences (New York)
1 Finite Fields and their Applications
1 Integral Transforms and Special Functions
1 Sbornik: Mathematics
1 Izvestiya: Mathematics
1 The Ramanujan Journal
1 Annals of Mathematics. Second Series
1 Integers
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Analysis and Mathematical Physics
1 Concrete Operators

Citations by Year

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